Heuristic analysis of convective finite difference techniques
A heuristic analysis is made of the Lax, Rusanov, Lax-Wendroff two-step and MacCormack techniques to determine truncation, stability and utility conditions for practical application of the methods. A simple artificial viscosity is introduced for compression region in the second order techniques, which reduced the overshoot at shock waves to less than 0.2% of the waves' defined strength.
KeywordsShock Wave Difference Equation Shock Front Rarefaction Wave Contact Discontinuity
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